© 2019

Advanced Lectures on General Relativity


Part of the Lecture Notes in Physics book series (LNP, volume 952)

Table of contents

  1. Front Matter
    Pages i-x
  2. Geoffrey Compère
    Pages 1-33
  3. Geoffrey Compère
    Pages 35-79
  4. Geoffrey Compère
    Pages 81-102
  5. Geoffrey Compère
    Pages 103-140

About this book


These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are:
  1. Surface charges as conserved quantities in theories of gravity;
  2. Classical and holographic features of three-dimensional Einstein gravity;
  3. Asymptotically flat spacetimes in four dimensions: BMS group and memory effects;
  4. The Kerr black hole: properties at extremality and quasi-normal mode ringing.
Each topic starts with historical foundations and points to a few modern research directions.


Surface charges and conservation Three-dimensional gravity BMS asymptotic symmetry group Rotating Black Holes and Spectroscopy Holography Memory effects in asymptotic spacetime structures Quasi-normal modes

Authors and affiliations

  1. 1.Physique théorique mathématiqueUniversité Libre de BruxellesBrusselsBelgium

About the authors

Geoffrey Compère is a FNRS Research Associate at the Université Libre de Bruxelles, Belgium. His research, as a theoretical physicist, focuses on surface charges in gravitation, the physics of black holes close to extremality, supergravity and infinite-dimensional symmetries, topics on which he has authored over 50 papers. He developed the package SurfaceCharges for Mathematica which allows to compute surface charges in gravitation coupled to matter. He is the recipient of an ERC Starting Grant addressing the holographic properties of black holes. As a member of the LISA consortium and of the Belgian Gravitational Wave Center, he is currently developing waveform models to confront General Relativity with upcoming high-precision gravitational wave observations.

Bibliographic information


“In accordance with the author’s aim to target young PhD students in physics or postdocs, these lecture notes have definitely been written in the language and style of physicists.” (Gabor Etesi, zbMath 1419.83003, 2019)